CONTINUOUS MULTISTEP METHODS FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS OF THE SECOND ORDER

  • N.M. Kamoh Department of Mathematics/Statistics Bingham University, Km 26 Keffi-Abuja Expressway, Karu, Nassarawa State,
  • T. Aboiyar Department of Mathematics/Statistics/Computer Science, University of Agriculture, Makurdi, Benue State, Nigeria.
  • A.R. Kimbir Department of Mathematics/Statistics/Computer Science, University of Agriculture, Makurdi, Benue State, Nigeria

Abstract

A new class of numerical methods for Volterra integro-differential equations of the second order is developed. The methods are based on interpolation and collocation of the shifted Legendre polynomial as basis function with Trapezoidal quadrature rules. The convergence analysis revealed that the methods are consistent and zero stable, hence their convergence. Numerical examples revealed that the methods compared favourably with existing standard methods.

Published
2017-10-01
Section
ARTICLES